(16+2x)(20+2x)=1152

Simple and best practice solution for (16+2x)(20+2x)=1152 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (16+2x)(20+2x)=1152 equation: 


Simplifying
(16 + 2x)(20 + 2x) = 1152

Multiply (16 + 2x) * (20 + 2x)
(16(20 + 2x) + 2x * (20 + 2x)) = 1152
((20 * 16 + 2x * 16) + 2x * (20 + 2x)) = 1152
((320 + 32x) + 2x * (20 + 2x)) = 1152
(320 + 32x + (20 * 2x + 2x * 2x)) = 1152
(320 + 32x + (40x + 4x2)) = 1152

Combine like terms: 32x + 40x = 72x
(320 + 72x + 4x2) = 1152

Solving
320 + 72x + 4x2 = 1152

Solving for variable 'x'.

Reorder the terms:
320 + -1152 + 72x + 4x2 = 1152 + -1152

Combine like terms: 320 + -1152 = -832
-832 + 72x + 4x2 = 1152 + -1152

Combine like terms: 1152 + -1152 = 0
-832 + 72x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-208 + 18x + x2) = 0

Factor a trinomial.
4((-26 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-26, 8}

See similar equations:

| 0=4.9t^2+2t+10 | | 41=x^2 | | 3=0.75x+3 | | 3=0.75+3 | | y=3*-2-2 | | 2.3x*0.3y=18 | | 48x=48x^2 | | 16(t^2-t-12)=0 | | 2(-0.4)= | | 3xy-4x+6by-8b=0 | | 8.98/20=c | | 8.98*.20=c | | ab+bc=7d | | 2x-6y=-24 | | c=2(43/4+21/4+0.4+5/8) | | ax+b=3x-7 | | 30gm=gr | | 2(y-34)+4y=58 | | x^2+1=-9 | | y+3=4(x+2) | | 16x^2+8x+1=24 | | x+1=-9 | | 4x-1=-x-1 | | -5(v+2)=4v-7+3(2v+5) | | d*9+4=-9 | | y-4=5(x-2) | | x=y^2+12y+10 | | 6e^5x+2=18 | | 6x*788=12 | | 0.06+0.05I=0.03I | | 2x+[3+5x]=5x | | 2=r*-5-2 |

Equations solver categories